Probability and Statistics for Engineering (ESE 326)
April14,2011
Exam 3
This exam contains eight multiple-choice problems worth two points each, five true-false problems
worth one point each, eight short-answer problems worth one point each, and two free

Probability and Statistics for Engineering
Homework 2
Spring 2012
(due Tuesday, January 31)
Show your work clearly in each of the following. Round any non-exact probabilities in a final
answer to four decimal places.
(1) Among Missouri residents, 60% like

Probability and Statistics for Engineering
Homework 5
Spring 2012
(due Tuesday, February 28)
(1) Let \ be a gamma random variable with parameters ! and " . Verify that I\ !"
using the definition of the mean, (in other words, using integration). Do not use

Probability and Statistics for Engineering
Homework 7
Spring 2012
(due Tuesday, March 27)
(1) Consider the following data, which give the level of DDT contamination (in parts per
million) in a sample of largemouth bass.
'
#"
')
(
(!
("
"!"
)'
')
&
'&
)'
'

Probability and Statistics for Engineering
Homework 6
Spring 2012
(due Tuesday, March 6)
(1) The length of time (in years) until a certain model of lawnmower wears out is a Weibull
random variable \ with ! !" and " $.
(a) Write out the reliability functio

Probability and Statistics for Engineering
Homework 5 Solutions
Spring 2012
(1) I\ '! >!" ! B! /B" .B
_
'! >!" ! " D! /D " .D
D "B
.D " .B
_
>! '! D ! /D .D
_
"
>! >! "
since '! D ! /D .D is the definition of >! "
!"
since >! " !>!
_
"
(2) I c\ # d '!

Probability and Statistics for Engineering
Homework 6 Solutions
Spring 2012
(1)
Weibull random variable X with cr : .001 and p
:
3.
(a) R(t) :"-'oort3 t>0
p(t):.003t2 t > 0
(b)
P[e<x<10lx>01
(c)
p(e) :.003(81)
(d)
R(t; :"-'oort3-.5
-.00113
t3
t
(2)
:
:
P[

Probability and Statistics for Engineering
Homework 10
Spring 2012
(due Tuesday, April 24)
Let \ represent the weight of an automobile (in tons), and let ] represent the gas mileage of the
automobile (in miles per gallon). A random sample of automobiles r

Probability and Statistics for Engineering
Homework 7 Solutions
Spring 2012
(1) 66 21 68 77 70 71 101 62 75 83 92 131
86 68 55 65 86 62 63 68 1A4 69 74 r97
54
78
Enter the numbers into your TI, or draw a stemplot to organize them.
:Iry:
(a) 7
70.5
: 86 -

Probability and Statistics for Engineering
Homework 8
Spring 2012
(due Tuesday, April 3)
The random variable \ is the time in seconds that it takes a (- or )-year-old boy in a summer
swim league to swim the #&-yard backstroke. The mean of \ is unknown, an

Probability and Statistics for Engineering
Homework L0 Solutions
Spring 2012
X: weight of
Y: gas mileage of the automobile (miles per gallon)
an automobile (tons)
r | 1.45 1.50 1.85 1.40 2.r0 1.60 i.95 1.35 1.65 1.60 r.70
a | 20.9 25.7 22.6 24.7 16.9 20.0

Probability and Statistics for Engineering
Exam 2 Outline
Spring 2012
Chapter 3. Discrete Distributions
W. Discrete Poisson Distribution (definition, density, mean, variance, computing probabilities) (3.8)
Chapter 4. Continuous Distributions
A.
B.
C.
D.
E

Probability and Statistics for Engineering
Final Exam Outline
Spring 2012
Chapter 1. Introduction to Probability and Counting
A.
B.
C.
D.
E.
F.
Random Phenomenon (Experiment), Outcome, Sample Space, Event (1.1/1.2)
Definition of Probability
Classical Appr

Probability and Statistics for Engineering
Exam 3 Outline
Spring 2012
Chapter 6. Descriptive Statistics
A.
B.
C.
D.
E.
F.
G.
H.
I.
J.
K.
L.
M.
Population vs. Sample (6.1)
Bias (6.1)
Parameter vs. Statistic (6.1)
Random Sample (6.3)
Sample Mean (6.3)
Sampl

Probability and Statistics for Engineering
Exam 1 Outline
Spring 2012
Chapter 1. Introduction to Probability and Counting
A.
B.
C.
D.
E.
F.
Random Phenomenon (Experiment), Outcome, Sample Space, Event (1.1/1.2)
Definition of Probability
Classical Approach

Probability and Statistics for Engineering
Homework 9
Spring 2012
(due Tuesday, April 17)
When bottles are filled with soda, it is important to control not only the mean of the volume but
also its standard deviation. A large standard deviation can lead to

Probability and Statistics for Engineering
Homework 1
Spring 2012
(due Tuesday, January 24)
In each of the following problems, be sure to show the set-up (for example, the appropriate
notation for permutations or combinations) as well as the final numeric

Probability and Statistics for Engineering
Homework 3 Solutions
Spring 2012
(1) First, compute the probability that April will win any given round.
binomial
success is a correctly-answered question
8&
: )*
T c\ 0 " T c\ $d " binomcdf & )* $ *!$%)
Then com

Probability and Statistics for Engineering (ESE 326)
Exam2
March 22,2011
This exam contains 10 multiple-choice problems worth two points each, four true-false problems worth
one point each, nine short-answer problems worth one point each, and one free-res

Probability and Statistics for Engineering (ESE 326)
Exam2
March 22.2011
This exam contains 10 multiple-choice problems worth two points each, four true-false problems worth
one point each, nine short-answer problems worth one point each, and one free-res

Probability and Statistics for Engineering (ESE 326) Exam 2 October 25, 2011
This exam contains 12 multiple-choice problems worth two points each, three truefalse problems worth
one point each, eight short-answer problems worth one point each, and one fr